Generality of spinor-bilinear momentum maps

Determine whether the association of Killing-spinor bilinears with the momentum maps of supergravity fields is a general property of supergravity theories.

Background

The paper identifies specific spinor bilinears with the Kalb–Ramond and Ramond–Ramond momentum maps for ten-dimensional type IIA and type IIB supergravity. These identifications are essential for proving that the generalized Komar charge associated with the supersymmetric Killing vector vanishes.

The authors explicitly leave unresolved whether this correspondence is a special feature of the theories studied or reflects a general structural relationship in supergravity.